The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator amd the denominator are reduced by 6. Find the fraction.
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Let the fraction be x/y
Given: y=2x+4
2x−y=−4
Multiply the equation with 6
12x−6y=−24................... (1)
(y−6)=12(x−6)
12x−y=66........................(2)
Subtract (1) and (2)
y=18 , x=7
Therefore, the fraction is 7/18.
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